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Show that x + y + 1 = 0 touches the cir...

Show that `x + y + 1 = 0` touches the circle
`x^(2) + y^(2) -3x + 7y 14 = 0` and find its
point of contact.

A

(1,0)

B

(2,-3)

C

(5,3)

D

(-1,0)

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

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  2. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  3. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  4. Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and ha...

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  5. If the equatio of one tangent to the circle with centre (2,-1) from th...

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  6. The normal of the circle (x- 2)^(2)+ (y- 1)^(2) =16 which bisects the ...

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  7. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y=4=0 that ...

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  8. The angle between the tangents to the circle with centre (4,5) drawn f...

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  9. The locus of the point of intersection of two perpendicular tangents t...

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  10. Locus of point of intersection of perpendicular tangents to the circle...

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  11. The locus of the point of intersection of the perpendicular tangents t...

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  12. Tangents from point P are drawn one of each of th circle x^(2)+y^(2)-4...

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  13. From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to th...

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  14. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

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  15. The length of the tangent from a point on x^(2)+y^(2)+8x+8y-4=0 to 2x^...

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  16. If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be...

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  17. If the square of the length of the tangents from a point P to the circ...

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  18. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

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  19. A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P a...

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  20. The locus of the point of intersection of tangents to the circle x=a c...

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